This sentence misuses an apostrophe. The word "company's" should be the plural form, which is "companies." Apostrophes should never be used in order to pluralize a word. The correct choice is, "The prevalence of companies without profits make many fear."

This sentence misuses an apostrophe. The plural of the word "language" is "languages." Apostrophes should never be used to pluralize a word. The correct choice is, "Among the languages that Misha wanted to learn were."

This sentence misuses an apostrophe. The word "dogs" in the context of this sentence should be the plural form of the word "dog;" however, you should never use an apostrophe to pluralize a word. The correct choice is, "After she took her dogs for a walk, she decided."

This sentence misuses the apostrophe. The context of this sentence indicates that multiple companies' personnel are gathering; in other words, the word "company" should be in the plural form: companies. An apostrophe should never be used to pluralize a word. The correct choice is, "The heads of the companies gathered periodically."

This sentence misuses an apostrophe. The word "his" is already possessive and does not need an apostrophe. This mark should be omitted altogether from the sentence. The correct choice is, "He always tried to encourage his students to try"

This sentence misuses an apostrophe. Since the word "his" is already possessive, there is no need for the apostrophe. It should be omitted. The correct choice is, "His report indentified many."

Quotation marks within quotation marks is mechanically incorrect. When referring to the title of an article, it is correct to place the title within quotation marks; however, when those quotation marks are within quotations, one should replace the quotation marks with apostrophes. The correct answer uses single quotation marks, the rest of the sentence is correct as written.

This sentence contains an error in the placement of the apostrophe. The word "hills" is the plural form of the word and should not contain an apostrophe (which would make it possessive). Note that apostrophes are never used to pluralize a word. Omit any and all apostrophes; the correct choice is, "Though the hills seemed small, the journey."

This sentence misuses the apostrophe. The word "cars" is supposed to be plural; apostrophes are never used to pluralize a word. Furthermore, the word "race (after "cars") is necessary because this verb (the first "race" is an adjective, describing "cars") describes what the cars are doing around the track. Without this verb, the last part of the sentence makes little sense. The correct choice is, "the race cars race around the track."

When another person is being quoted word for word, quotation marks are necessary. Since what Rebecca was saying to Ryan was being quoted word for word, quotation marks were necessary around what she was saying. 

However, if the words that another person said are being relayed indirectly or paraphrased, quotes are not necessary. Rebecca was telling Ryan indirectly what her mom had said, given that she said "mom told me that" (implying paraphrasing), rather than "mom told me" (implying direct quotation). 

Therefore, the correct version of the underlined portion of the sentence is "mom told me that we can't afford the farm anymore and"